Aussie Maths & Science Teachers: Save your time with SmarterEd
Nathan is on a hike from Nords Wharf to Burwood Beach.
The trail is 38 kilometres in length.
On the first day, Nathan walks 8300 metres to Little Pelican.
The next day, he walks 16 900 metres to Redhead Beach.
How many kilometres remain for Nathan to complete this trail?
Give your answer in kilometres, to one decimal place.
| kilometres |
`12.8\ text(km)`
`text(Convert distances to km:)`
`8300\ text(m) -> 8.3\ text(km)`
`16\ 900\ text(m) -> 16.9\ text(km)`
| `:.\ text(Distance remaining)` | `= 38 – (8.3 + 16.9)` |
| `= 12.8\ text(km)` |
Kim, Bob and Liz each measure the height of the hedge in their front yards.
Who has the tallest hedge in their front yard?
| Kim | Bob | Liz |
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`text(Bob)`
`text(Convert each to centimetres)`
`text(Kim = 0.72 × 100 = 72 centimetres)`
`text(Bob = 815 ÷ 10 = 81.5 centimetres)`
`text(Liz = 68 centimetres)`
`:.\ text(Bob’s hedge is the tallest)`
Karen needs 3475 centimetres of ribbon for a science project.
Choose an equivalent length of ribbon for Karen to use.
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34 metres and 75 centimetres |
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3 metres and 475 centimetres |
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34 centimetres and 75 millimetres |
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347 centimetres and 5 millimetres |
`text(34 metres and 75 centimetres)`
| `3475\ text(cm)` | `= 3475/100 text(m)` |
| `= 34.75\ text(m)` | |
| `= 34\ text(metres and 75 centimetres)` |
Roger has a 0.95 metre length of wood.
He cuts a 250 millimetre piece off it.
How long is the remaining length of wood?
| millimetres |
`700\ text(mm)`
| `text(Length remaining)` | `= 0.95\ text(m) – 250\ text(mm)` |
| `= 950\ text(mm) – 250\ text(mm)` | |
| `= 700\ text(mm)` |
Which of these is the longest distance?
| `0.2405\ text(km)` | `245\ text(m)` | `2450\ text(cm)` | `24\ 050\ text(mm)` |
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`text(245 m)`
`text(Convert each option to metres:)`
`text(Option 1: 0.2405 km = 0.2405 × 1000 = 240.5 m)`
`text(Option 2: 245 m)`
`text(Option 3: 2450 cm) = 2450/100 = 24.5\ text(m)`
`text(Option 4: 24 050 mm) = (22\ 050)/1000 = 24.05\ text(m)`
`:.\ text(245 m is the longest distance.)`
A giant earthworm measures 2.1 metres.
How long is it in centimetres?
| `201` | `210` | `2010` | `2100` |
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`text(210 cm)`
| `text{Length (cm)}` | `= 2.1 xx 100` |
| `= 210\ text(cm)` |
Janus measures the width of his driveway to be 4 metres and 18 centimetres.
Which answer shows how Janus can write this measurement in metres?
| `4.018\ text(m)` | `4.18\ text(m)` | `4.1\ text(m)` | `5.18\ text(m)` |
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`text(4.18 m)`
`text(Measurement = 4.18 m)`